A) Erdos Renyi Graph

B) Complemente

C) Adjecency Materix

Matrix

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                 
 [1,] . . . . . 1 . . . . . . . 1 1 1 . . . . . . . 1 . 1 . . . .
 [2,] . . . . . . . . . . . 1 . 1 . 1 1 . 1 . . 1 . . . . . . . .
 [3,] . . . . 1 . 1 . . . . . . 1 . . 1 1 . 1 . . . . . 1 . . . .
 [4,] . . . . . . . . . . . . . . 1 . . . . . 1 1 . . . . . . . .
 [5,] . . 1 . . . . 1 1 . . 1 1 . . . . . . 1 . . . . . . . . . 1
 [6,] 1 . . . . . . . . 1 1 1 . . 1 . . 1 . . . . . . . . . 1 . .
 [7,] . . 1 . . . . . . 1 . . . . . . 1 . . . . . 1 1 1 . 1 . . .
 [8,] . . . . 1 . . . . 1 1 . . . . . . . 1 . . 1 . . . . 1 . . 1
 [9,] . . . . 1 . . . . . . . . . . 1 . . 1 1 . 1 1 . . . . . . .
[10,] . . . . . 1 1 1 . . . 1 . 1 . . . . . 1 . 1 . . 1 1 . . . .
[11,] . . . . . 1 . 1 . . . 1 . . . 1 . . . . . . . . . . . . . 1
[12,] . 1 . . 1 1 . . . 1 1 . . 1 . . . . . . . . . . 1 . . 1 . .
[13,] . . . . 1 . . . . . . . . . 1 1 1 1 . 1 . . 1 . . . 1 . . 1
[14,] 1 1 1 . . . . . . 1 . 1 . . . 1 . . . 1 1 1 . 1 . 1 . . . .
[15,] 1 . . 1 . 1 . . . . . . 1 . . . . . 1 1 1 . . 1 . . 1 . . .
[16,] 1 1 . . . . . . 1 . 1 . 1 1 . . . . . . 1 . . . 1 . . . . .
[17,] . 1 1 . . . 1 . . . . . 1 . . . . . 1 . . . . 1 1 . 1 1 . .
[18,] . . 1 . . 1 . . . . . . 1 . . . . . 1 . . . 1 1 1 . . . . .
[19,] . 1 . . . . . 1 1 . . . . . 1 . 1 1 . 1 . . . . . . . . 1 .
[20,] . . 1 . 1 . . . 1 1 . . 1 1 1 . . . 1 . . . . . . 1 1 . . .
[21,] . . . 1 . . . . . . . . . 1 1 1 . . . . . . . . . . 1 1 1 .
[22,] . 1 . 1 . . . 1 1 1 . . . 1 . . . . . . . . . 1 1 . . 1 1 .
[23,] . . . . . . 1 . 1 . . . 1 . . . . 1 . . . . . . . . 1 . . .
[24,] 1 . . . . . 1 . . . . . . 1 1 . 1 1 . . . 1 . . 1 . . . . 1
[25,] . . . . . . 1 . . 1 . 1 . . . 1 1 1 . . . 1 . 1 . . . . . .
[26,] 1 . 1 . . . . . . 1 . . . 1 . . . . . 1 . . . . . . . . . .
[27,] . . . . . . 1 1 . . . . 1 . 1 . 1 . . 1 1 . 1 . . . . . 1 .
[28,] . . . . . 1 . . . . . 1 . . . . 1 . . . 1 1 . . . . . . . .
[29,] . . . . . . . . . . . . . . . . . . 1 . 1 1 . . . . 1 . . .
[30,] . . . . 1 . . 1 . . 1 . 1 . . . . . . . . . . 1 . . . . . .

D) Some powers of the matrix

Matrix^2

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                    
 [1,] 6 2 2 1 . 1 1 . 1 3 2 2 2  3 2 1 1 2 1  3 3  2 . 2 2 1 1 1 . 1
 [2,] 2 6 2 1 1 1 1 2 3 3 2 1 2  3 1 1 1 1 1  2 2  1 . 3 4 1 1 3 2 .
 [3,] 2 2 7 . 1 1 1 1 2 4 . 2 4  2 1 1 1 . 3  3 1  1 2 4 3 2 3 1 . 1
 [4,] 1 1 . 3 . 1 . 1 1 1 . . 1  2 1 1 . . 1  1 1  . . 2 1 . 2 2 2 .
 [5,] . 1 1 . 7 1 1 1 1 3 3 . 2  3 2 2 2 2 3  3 .  2 2 1 1 2 3 1 . 2
 [6,] 1 1 1 1 1 7 1 2 . 1 1 3 2  3 1 2 1 . 2  2 2  2 1 3 3 2 1 1 . 1
 [7,] 1 1 1 . 1 1 7 2 1 1 . 2 3  3 2 1 4 4 1  3 1  3 1 2 3 2 2 1 1 1
 [8,] . 2 1 1 1 2 2 7 3 1 1 3 3  2 2 1 2 1 .  4 1  1 1 2 2 1 . 1 3 2
 [9,] 1 3 2 1 1 . 1 3 6 2 1 1 4  3 2 . 1 2 1  2 1  . . 1 2 1 2 1 2 1
[10,] 3 3 4 1 3 1 1 1 2 9 3 3 1  4 2 2 2 2 2  2 1  3 1 4 3 2 3 3 1 1
[11,] 2 2 . . 3 1 . 1 1 3 5 1 2  2 1 . . 1 1  . 1  1 . 1 2 . 1 2 . 1
[12,] 2 1 2 . . 3 2 3 1 3 1 8 1  2 1 4 3 2 1  3 2  5 . 2 1 2 . 1 . 2
[13,] 2 2 4 1 2 2 3 3 4 1 2 1 9  2 2 . 1 1 4  3 3  . 2 4 3 1 4 1 1 1
[14,] 3 3 2 2 3 3 3 2 3 4 2 2 2 11 4 3 3 2 2  3 1  3 . 2 5 4 2 3 2 1
[15,] 2 1 1 1 2 1 2 2 2 2 1 1 2  4 9 3 4 4 1  3 2  2 2 1 1 2 3 2 3 2
[16,] 1 1 1 1 2 2 1 1 . 2 . 4 .  3 3 8 3 2 2  3 1  4 2 3 . 2 2 1 1 2
[17,] 1 1 1 . 2 1 4 2 1 2 . 3 1  3 4 3 9 5 1  4 2  4 3 2 2 1 2 . 2 2
[18,] 2 1 . . 2 . 4 1 2 2 1 2 1  2 4 2 5 7 .  3 .  2 1 1 1 1 2 1 1 2
[19,] 1 1 3 1 3 2 1 . 1 2 1 1 4  2 1 2 1 . 8  2 2  4 2 3 2 1 5 1 . 1
[20,] 3 2 3 1 3 2 3 4 2 2 . 3 3  3 3 3 4 3 2 10 3  3 3 2 1 3 2 . 2 2
[21,] 3 2 1 1 . 2 1 1 1 1 1 2 3  1 2 1 2 . 2  3 7  4 1 2 1 1 2 . 1 .
[22,] 2 1 1 . 2 2 3 1 . 3 1 5 .  3 2 4 4 2 4  3 4 10 1 2 2 2 2 . . 2
[23,] . . 2 . 2 1 1 1 . 1 . . 2  . 2 2 3 1 2  3 1  1 5 2 2 . 2 . 1 1
[24,] 2 3 4 2 1 3 2 2 1 4 1 2 4  2 1 3 2 1 3  2 2  2 2 9 4 2 3 2 1 .
[25,] 2 4 3 1 1 3 3 2 2 3 2 1 3  5 1 . 2 1 2  1 1  2 2 4 8 1 2 3 1 1
[26,] 1 1 2 . 2 2 2 1 1 2 . 2 1  4 2 2 1 1 1  3 1  2 . 2 1 5 1 . . .
[27,] 1 1 3 2 3 1 2 . 2 3 1 . 4  2 3 2 2 2 5  2 2  2 2 3 2 1 9 2 1 2
[28,] 1 3 1 2 1 1 1 1 1 3 2 1 1  3 2 1 . 1 1  . .  . . 2 3 . 2 5 2 .
[29,] . 2 . 2 . . 1 3 2 1 . . 1  2 3 1 2 1 .  2 1  . 1 1 1 . 1 2 4 .
[30,] 1 . 1 . 2 1 1 2 1 1 1 2 1  1 2 2 2 2 1  2 .  2 1 . 1 . 2 . . 5

Matrix^5

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                         
 [1,]  654  689  748 343  687  719  760  668  581  985 417  819  838 1252
 [2,]  689  662  755 305  744  726  848  679  558 1034 421  983  813 1254
 [3,]  748  755  816 329  880  718 1028  817  716 1103 470  942  970 1433
 [4,]  343  305  329 146  326  319  390  314  266  452 196  433  396  551
 [5,]  687  744  880 326  700  686  822  848  747  984 438  876 1076 1152
 [6,]  719  726  718 319  686  602  750  649  622 1073 511  822  807 1198
 [7,]  760  848 1028 390  822  750  892  739  722 1233 516  852 1130 1312
 [8,]  668  679  817 314  848  649  739  592  595 1099 530  787  925 1162
 [9,]  581  558  716 266  747  622  722  595  492  894 372  787  803 1024
[10,]  985 1034 1103 452  984 1073 1233 1099  894 1420 616 1326 1272 1820
[11,]  417  421  470 196  438  511  516  530  372  616 264  676  534  753
[12,]  819  983  942 433  876  822  852  787  787 1326 676  868 1074 1557
[13,]  838  813  970 396 1076  807 1130  925  803 1272 534 1074 1160 1522
[14,] 1252 1254 1433 551 1152 1198 1312 1162 1024 1820 753 1557 1522 2010
[15,]  938  968 1161 496  919  953 1000  895  856 1307 595 1009 1429 1490
[16,]  873  994  974 436  783  788  884  835  870 1221 634  849 1224 1482
[17,]  934 1108 1274 521  968  939 1080  925  960 1454 671  965 1524 1624
[18,]  698  799 1005 377  736  787  795  713  684 1071 484  768 1185 1188
[19,]  762  859  830 392  807  688 1003  963  850 1096 481  927 1067 1399
[20,] 1071 1175 1384 560 1244 1023 1212 1052 1112 1688 775 1138 1631 1961
[21,]  631  715  707 396  699  613  737  660  643  986 437  699  851 1248
[22,]  966 1227 1159 577  931  941 1057 1068 1045 1532 721 1030 1369 1826
[23,]  488  537  613 253  549  439  665  541  564  712 334  523  825  861
[24,]  992  980 1014 431 1015  913 1265  987  884 1411 625 1208 1198 1791
[25,]  891  873  981 379  917  876 1136  894  735 1357 540 1248 1054 1537
[26,]  671  684  773 302  633  587  678  603  591  985 424  725  823 1128
[27,]  851  901  990 429  907  836 1148 1053  890 1171 506 1043 1300 1488
[28,]  530  482  541 210  491  578  638  533  391  723 299  784  609  863
[29,]  428  404  517 207  467  431  478  356  349  620 273  510  613  678
[30,]  463  554  610 251  546  490  537  545  509  727 382  516  789  817
                                                                         
 [1,]  938  873  934  698  762 1071  631  966 488  992  891  671  851 530
 [2,]  968  994 1108  799  859 1175  715 1227 537  980  873  684  901 482
 [3,] 1161  974 1274 1005  830 1384  707 1159 613 1014  981  773  990 541
 [4,]  496  436  521  377  392  560  396  577 253  431  379  302  429 210
 [5,]  919  783  968  736  807 1244  699  931 549 1015  917  633  907 491
 [6,]  953  788  939  787  688 1023  613  941 439  913  876  587  836 578
 [7,] 1000  884 1080  795 1003 1212  737 1057 665 1265 1136  678 1148 638
 [8,]  895  835  925  713  963 1052  660 1068 541  987  894  603 1053 533
 [9,]  856  870  960  684  850 1112  643 1045 564  884  735  591  890 391
[10,] 1307 1221 1454 1071 1096 1688  986 1532 712 1411 1357  985 1171 723
[11,]  595  634  671  484  481  775  437  721 334  625  540  424  506 299
[12,] 1009  849  965  768  927 1138  699 1030 523 1208 1248  725 1043 784
[13,] 1429 1224 1524 1185 1067 1631  851 1369 825 1198 1054  823 1300 609
[14,] 1490 1482 1624 1188 1399 1961 1248 1826 861 1791 1537 1128 1488 863
[15,] 1146 1017 1153  836 1241 1489 1013 1253 732 1452 1242  803 1348 689
[16,] 1017  766  963  762  930 1208  820  995 526 1202 1225  698 1050 716
[17,] 1153  963 1156  876 1277 1411  920 1188 742 1572 1458  810 1432 839
[18,]  836  762  876  608 1016 1110  730  933 617 1236 1101  629 1071 578
[19,] 1241  930 1277 1016  770 1423  755 1050 626 1045 1010  704  990 607
[20,] 1489 1208 1411 1110 1423 1720 1021 1429 839 1618 1503 1014 1633 897
[21,] 1013  820  920  730  755 1021  596  866 485  931  880  590  941 607
[22,] 1253  995 1188  933 1050 1429  866 1142 641 1502 1495  842 1244 950
[23,]  732  526  742  617  626  839  485  641 410  734  696  436  780 396
[24,] 1452 1202 1572 1236 1045 1618  931 1502 734 1296 1300  902 1242 729
[25,] 1242 1225 1458 1101 1010 1503  880 1495 696 1300 1132  847 1134 634
[26,]  803  698  810  629  704 1014  590  842 436  902  847  592  792 494
[27,] 1348 1050 1432 1071  990 1633  941 1244 780 1242 1134  792 1184 614
[28,]  689  716  839  578  607  897  607  950 396  729  634  494  614 314
[29,]  549  534  592  410  655  685  512  733 354  642  538  376  682 288
[30,]  608  500  600  465  613  768  464  591 383  769  700  418  683 405
             
 [1,] 428 463
 [2,] 404 554
 [3,] 517 610
 [4,] 207 251
 [5,] 467 546
 [6,] 431 490
 [7,] 478 537
 [8,] 356 545
 [9,] 349 509
[10,] 620 727
[11,] 273 382
[12,] 510 516
[13,] 613 789
[14,] 678 817
[15,] 549 608
[16,] 534 500
[17,] 592 600
[18,] 410 465
[19,] 655 613
[20,] 685 768
[21,] 512 464
[22,] 733 591
[23,] 354 383
[24,] 642 769
[25,] 538 700
[26,] 376 418
[27,] 682 683
[28,] 288 405
[29,] 220 314
[30,] 314 340

Matrix^15

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                      
 [1,] 483792830520 515472013863 5.695101e+11 238042296558 508684848485
 [2,] 515472013863 549047475340 6.066751e+11 253535940349 542048372865
 [3,] 569510091868 606675149274 6.702730e+11 280150951443 598901369900
 [4,] 238042296558 253535940349 2.801510e+11 117077968722 250321817642
 [5,] 508684848485 542048372865 5.989014e+11 250321817642 534855279638
 [6,] 476584972261 507811663375 5.609969e+11 234500037776 501102393912
 [7,] 569091150703 606492716381 6.701340e+11 280095139973 598371237782
 [8,] 498063852440 530692403507 5.864230e+11 245085103684 523744258632
 [9,] 458062278671 487914178510 5.391930e+11 225319980879 481722816793
[10,] 723083351352 770368257284 8.511269e+11 355738227002 760272336341
[11,] 322027993838 343009453998 3.789941e+11 158389460087 338610816978
[12,] 576345043903 614344297980 6.786602e+11 283711454126 605913001927
[13,] 666810363307 710266324167 7.848166e+11 328000570681 701299337315
[14,] 853388296700 909238125826 1.004637e+12 419877260434 897261387084
[15,] 660428957033 703829954424 7.777307e+11 325053951270 694389337713
[16,] 576235708144 614251189481 6.785768e+11 283673818871 605784621986
[17,] 689059726189 734520129201 8.115679e+11 339234730667 724449062780
[18,] 524281912832 558837069394 6.175125e+11 258097099113 551210666254
[19,] 578420749012 616269634775 6.808095e+11 284587588715 608235929775
[20,] 794889746102 847162269162 9.360192e+11 391247450842 835806776117
[21,] 477301618189 508630708184 5.619105e+11 234894299229 501882694815
[22,] 694824943732 740685504152 8.181938e+11 342061313947 730450239762
[23,] 373262704203 397783327983 4.395002e+11 183709198021 392503381562
[24,] 712468930442 758996928834 8.385448e+11 350488946379 749197259338
[25,] 657988208244 700872141202 7.744056e+11 323642834238 691905673557
[26,] 444934368043 474146605740 5.238438e+11 218961504224 467798925917
[27,] 654888832622 697714395700 7.708885e+11 322206900221 688661373457
[28,] 378533296767 403146931383 4.454763e+11 186157173746 398033137761
[29,] 312495943845 332929142411 3.679406e+11 153755873974 328608111105
[30,] 351852549659 375039620714 4.143683e+11 173206760635 369935966812
                                                                      
 [1,] 476584972261 5.690912e+11 498063852440 458062278671 7.230834e+11
 [2,] 507811663375 6.064927e+11 530692403507 487914178510 7.703683e+11
 [3,] 560996886697 6.701340e+11 586422950074 539193034658 8.511269e+11
 [4,] 234500037776 2.800951e+11 245085103684 225319980879 3.557382e+11
 [5,] 501102393912 5.983712e+11 523744258632 481722816793 7.602723e+11
 [6,] 469450890892 5.606110e+11 490648904533 451262278823 7.123186e+11
 [7,] 560611046540 6.692956e+11 585816732559 538938529242 8.506445e+11
 [8,] 490648904533 5.858167e+11 512675561030 471581449044 7.444640e+11
 [9,] 451262278823 5.389385e+11 471581449044 433609983124 6.845863e+11
[10,] 712318568149 8.506445e+11 744464006716 684586301827 1.080672e+12
[11,] 317247513875 3.789012e+11 331570132584 304823196936 4.812507e+11
[12,] 567727648522 6.777028e+11 593251675610 545863860782 8.615351e+11
[13,] 656853505318 7.846794e+11 686611945490 631292076821 9.965382e+11
[14,] 840700144476 1.003797e+12 878508053629 807944694557 1.275471e+12
[15,] 650610981224 7.766890e+11 679833851337 625433910678 9.871473e+11
[16,] 567619005062 6.775811e+11 593177426645 545811273461 8.613435e+11
[17,] 678788672804 8.102209e+11 709266986034 652678614624 1.030027e+12
[18,] 516494950101 6.164711e+11 539644846703 496562716008 7.836994e+11
[19,] 569749311583 6.805877e+11 595652306263 547744891703 8.644485e+11
[20,] 783020773835 9.348517e+11 818270173584 752824373193 1.188164e+12
[21,] 470155484799 5.614417e+11 491399425605 452010314069 7.134140e+11
[22,] 684423195879 8.170411e+11 715278791307 658156963291 1.038621e+12
[23,] 367676215498 4.390737e+11 384310037407 353533949746 5.579014e+11
[24,] 701819603903 8.382843e+11 733583554930 674537462215 1.064796e+12
[25,] 648192502879 7.741888e+11 677447379691 622849747825 9.833556e+11
[26,] 438292760688 5.232997e+11 458031477626 421329079944 6.650350e+11
[27,] 645108254781 7.705448e+11 674362834318 620127372070 9.787252e+11
[28,] 372921527723 4.454009e+11 389725020520 358258630867 5.656797e+11
[29,] 307863774429 3.675692e+11 321660139947 295846739252 4.670680e+11
[30,] 346604147731 4.137673e+11 362208187931 333271451218 5.259389e+11
                                                                      
 [1,] 322027993838 5.763450e+11 6.668104e+11 8.533883e+11 6.604290e+11
 [2,] 343009453998 6.143443e+11 7.102663e+11 9.092381e+11 7.038300e+11
 [3,] 378994092201 6.786602e+11 7.848166e+11 1.004637e+12 7.777307e+11
 [4,] 158389460087 2.837115e+11 3.280006e+11 4.198773e+11 3.250540e+11
 [5,] 338610816978 6.059130e+11 7.012993e+11 8.972614e+11 6.943893e+11
 [6,] 317247513875 5.677276e+11 6.568535e+11 8.407001e+11 6.506110e+11
 [7,] 378901195196 6.777028e+11 7.846794e+11 1.003797e+12 7.766890e+11
 [8,] 331570132584 5.932517e+11 6.866119e+11 8.785081e+11 6.798339e+11
 [9,] 304823196936 5.458639e+11 6.312921e+11 8.079447e+11 6.254339e+11
[10,] 481250714753 8.615351e+11 9.965382e+11 1.275471e+12 9.871473e+11
[11,] 214276892772 3.838134e+11 4.437188e+11 5.680251e+11 4.397046e+11
[12,] 383813354988 6.861983e+11 7.946569e+11 1.016664e+12 7.864620e+11
[13,] 443718785474 7.946569e+11 9.189406e+11 1.176245e+12 9.106818e+11
[14,] 568025136906 1.016664e+12 1.176245e+12 1.505234e+12 1.164850e+12
[15,] 439704570145 7.864620e+11 9.106818e+11 1.164850e+12 9.012901e+11
[16,] 383735510696 6.860250e+11 7.946126e+11 1.016439e+12 7.863051e+11
[17,] 458884105366 8.202943e+11 9.503440e+11 1.215391e+12 9.402034e+11
[18,] 349126786402 6.241789e+11 7.230877e+11 9.247071e+11 7.153451e+11
[19,] 384965235230 6.891481e+11 7.972268e+11 1.020379e+12 7.898751e+11
[20,] 529263453431 9.465405e+11 1.096046e+12 1.402116e+12 1.084892e+12
[21,] 317756773076 5.684881e+11 6.579685e+11 8.419827e+11 6.515914e+11
[22,] 462715831871 8.272127e+11 9.581014e+11 1.225674e+12 9.481645e+11
[23,] 248499465122 4.445224e+11 5.146799e+11 6.584199e+11 5.095549e+11
[24,] 474155755041 8.489645e+11 9.818284e+11 1.256808e+12 9.728660e+11
[25,] 437849789936 7.841707e+11 9.066616e+11 1.160638e+12 8.984455e+11
[26,] 296213639744 5.299199e+11 6.133640e+11 7.848278e+11 6.072784e+11
[27,] 435845036490 7.802600e+11 9.027020e+11 1.155200e+12 8.942392e+11
[28,] 251850283842 4.512125e+11 5.215317e+11 6.676657e+11 5.168649e+11
[29,] 208004546781 3.722656e+11 4.307959e+11 5.511528e+11 4.265393e+11
[30,] 234297227655 4.189179e+11 4.852320e+11 6.206257e+11 4.801581e+11
                                                                      
 [1,] 5.762357e+11 6.890597e+11 524281912832 5.784207e+11 7.948897e+11
 [2,] 6.142512e+11 7.345201e+11 558837069394 6.162696e+11 8.471623e+11
 [3,] 6.785768e+11 8.115679e+11 617512469239 6.808095e+11 9.360192e+11
 [4,] 2.836738e+11 3.392347e+11 258097099113 2.845876e+11 3.912475e+11
 [5,] 6.057846e+11 7.244491e+11 551210666254 6.082359e+11 8.358068e+11
 [6,] 5.676190e+11 6.787887e+11 516494950101 5.697493e+11 7.830208e+11
 [7,] 6.775811e+11 8.102209e+11 616471099216 6.805877e+11 9.348517e+11
 [8,] 5.931774e+11 7.092670e+11 539644846703 5.956523e+11 8.182702e+11
 [9,] 5.458113e+11 6.526786e+11 496562716008 5.477449e+11 7.528244e+11
[10,] 8.613435e+11 1.030027e+12 783699427921 8.644485e+11 1.188164e+12
[11,] 3.837355e+11 4.588841e+11 349126786402 3.849652e+11 5.292635e+11
[12,] 6.860250e+11 8.202943e+11 624178912495 6.891481e+11 9.465405e+11
[13,] 7.946126e+11 9.503440e+11 723087698291 7.972268e+11 1.096046e+12
[14,] 1.016439e+12 1.215391e+12 924707104957 1.020379e+12 1.402116e+12
[15,] 7.863051e+11 9.402034e+11 715345083567 7.898751e+11 1.084892e+12
[16,] 6.858394e+11 8.201127e+11 624036752610 6.890439e+11 9.463857e+11
[17,] 8.201127e+11 9.806227e+11 746139194226 8.241449e+11 1.131675e+12
[18,] 6.240368e+11 7.461392e+11 567695976810 6.271115e+11 8.610835e+11
[19,] 6.890439e+11 8.241449e+11 627111507273 6.914318e+11 9.506052e+11
[20,] 9.463857e+11 1.131675e+12 861083527653 9.506052e+11 1.305763e+12
[21,] 5.684070e+11 6.797463e+11 517233345637 5.706702e+11 7.841784e+11
[22,] 8.269906e+11 9.889164e+11 752501698049 8.307848e+11 1.141148e+12
[23,] 4.444622e+11 5.315579e+11 404469289952 4.463503e+11 6.132748e+11
[24,] 8.488387e+11 1.015162e+12 772423138840 8.517093e+11 1.170873e+12
[25,] 7.840470e+11 9.376036e+11 713363626938 7.866208e+11 1.081388e+12
[26,] 5.298026e+11 6.335259e+11 482038989262 5.319977e+11 7.309239e+11
[27,] 7.801494e+11 9.330665e+11 709951817519 7.829666e+11 1.076291e+12
[28,] 4.511265e+11 5.394564e+11 410410816743 4.525328e+11 6.221613e+11
[29,] 3.722173e+11 4.450489e+11 338589406126 3.737615e+11 5.134452e+11
[30,] 4.188271e+11 5.008270e+11 381075174970 4.207926e+11 5.779341e+11
                                                                      
 [1,] 477301618189 6.948249e+11 373262704203 7.124689e+11 6.579882e+11
 [2,] 508630708184 7.406855e+11 397783327983 7.589969e+11 7.008721e+11
 [3,] 561910458420 8.181938e+11 439500151439 8.385448e+11 7.744056e+11
 [4,] 234894299229 3.420613e+11 183709198021 3.504889e+11 3.236428e+11
 [5,] 501882694815 7.304502e+11 392503381562 7.491973e+11 6.919057e+11
 [6,] 470155484799 6.844232e+11 367676215498 7.018196e+11 6.481925e+11
 [7,] 561441693537 8.170411e+11 439073697097 8.382843e+11 7.741888e+11
 [8,] 491399425605 7.152788e+11 384310037407 7.335836e+11 6.774474e+11
 [9,] 452010314069 6.581570e+11 353533949746 6.745375e+11 6.228497e+11
[10,] 713413991690 1.038621e+12 557901409368 1.064796e+12 9.833556e+11
[11,] 317756773076 4.627158e+11 248499465122 4.741558e+11 4.378498e+11
[12,] 568488053787 8.272127e+11 444522443928 8.489645e+11 7.841707e+11
[13,] 657968524001 9.581014e+11 514679947031 9.818284e+11 9.066616e+11
[14,] 841982696489 1.225674e+12 658419854676 1.256808e+12 1.160638e+12
[15,] 651591430682 9.481645e+11 509554906172 9.728660e+11 8.984455e+11
[16,] 568406968075 8.269906e+11 444462224395 8.488387e+11 7.840470e+11
[17,] 679746286743 9.889164e+11 531557906347 1.015162e+12 9.376036e+11
[18,] 517233345637 7.525017e+11 404469289952 7.724231e+11 7.133636e+11
[19,] 570670229174 8.307848e+11 446350336320 8.517093e+11 7.866208e+11
[20,] 784178398185 1.141148e+12 613274822780 1.170873e+12 1.081388e+12
[21,] 470860071250 6.853514e+11 368252866209 7.029409e+11 6.492396e+11
[22,] 685351445306 9.971633e+11 535911918486 1.023504e+12 9.454157e+11
[23,] 368252866209 5.359119e+11 288027993722 5.497757e+11 5.077590e+11
[24,] 702940914608 1.023504e+12 549775679888 1.049065e+12 9.688384e+11
[25,] 649239603424 9.454157e+11 507758983946 9.688384e+11 8.946683e+11
[26,] 438935837016 6.388419e+11 343245657506 6.553115e+11 6.052291e+11
[27,] 646172683338 9.406645e+11 505407217986 9.643801e+11 8.906107e+11
[28,] 373538512410 5.439985e+11 292119816818 5.573368e+11 5.146293e+11
[29,] 308356723244 4.488541e+11 241153342514 4.602742e+11 4.250090e+11
[30,] 347104612681 5.050232e+11 271444079270 5.183263e+11 4.787257e+11
                                                                      
 [1,] 444934368043 6.548888e+11 378533296767 312495943845 351852549659
 [2,] 474146605740 6.977144e+11 403146931383 332929142411 375039620714
 [3,] 523843756624 7.708885e+11 445476256292 367940596815 414368313183
 [4,] 218961504224 3.222069e+11 186157173746 153755873974 173206760635
 [5,] 467798925917 6.886614e+11 398033137761 328608111105 369935966812
 [6,] 438292760688 6.451083e+11 372921527723 307863774429 346604147731
 [7,] 523299707899 7.705448e+11 445400933858 367569190260 413767270689
 [8,] 458031477626 6.743628e+11 389725020520 321660139947 362208187931
 [9,] 421329079944 6.201274e+11 358258630867 295846739252 333271451218
[10,] 665035014075 9.787252e+11 565679737055 467068038366 525938923301
[11,] 296213639744 4.358450e+11 251850283842 208004546781 234297227655
[12,] 529919906350 7.802600e+11 451212464070 372265611693 418917909095
[13,] 613363982130 9.027020e+11 521531656453 430795906603 485232036604
[14,] 784827819790 1.155200e+12 667665670392 551152849649 620625693168
[15,] 607278443196 8.942392e+11 516864853303 426539320736 480158081284
[16,] 529802601228 7.801494e+11 451126511286 372217326910 418827140224
[17,] 633525859802 9.330665e+11 539456400837 445048913766 500826981383
[18,] 482038989262 7.099518e+11 410410816743 338589406126 381075174970
[19,] 531997722172 7.829666e+11 452532786275 373761482661 420792554993
[20,] 730923870016 1.076291e+12 622161309417 513445219811 577934056002
[21,] 438935837016 6.461727e+11 373538512410 308356723244 347104612681
[22,] 638841906067 9.406645e+11 543998470032 448854058132 505023204508
[23,] 343245657506 5.054072e+11 292119816818 241153342514 271444079270
[24,] 655311509896 9.643801e+11 557336756822 460274245275 518326280868
[25,] 605229053586 8.906107e+11 514629300125 425009020181 478725723841
[26,] 409151181744 6.023272e+11 348200984748 287388626556 323514645237
[27,] 602327183231 8.865595e+11 512319312547 423121096760 476422577529
[28,] 348200984748 5.123193e+11 295994441116 244473379495 275432055577
[29,] 287388626556 4.231211e+11 244473379495 201794581544 227276023688
[30,] 323514645237 4.764226e+11 275432055577 227276023688 255774997868

Matrix^30

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                      
 [1,] 9.546433e+24 1.017217e+25 1.123892e+25 4.697560e+24 1.003779e+25
 [2,] 1.017217e+25 1.083892e+25 1.197559e+25 5.005469e+24 1.069573e+25
 [3,] 1.123892e+25 1.197559e+25 1.323146e+25 5.530390e+24 1.181738e+25
 [4,] 4.697560e+24 5.005469e+24 5.530390e+24 2.311552e+24 4.939344e+24
 [5,] 1.003779e+25 1.069573e+25 1.181738e+25 4.939344e+24 1.055443e+25
 [6,] 9.404063e+24 1.002047e+25 1.107131e+25 4.627504e+24 9.888090e+24
 [7,] 1.122931e+25 1.196535e+25 1.322015e+25 5.525662e+24 1.180728e+25
 [8,] 9.828106e+24 1.047230e+25 1.157053e+25 4.836164e+24 1.033396e+25
 [9,] 9.039574e+24 9.632086e+24 1.064220e+25 4.448148e+24 9.504840e+24
[10,] 1.426839e+25 1.520363e+25 1.679803e+25 7.021116e+24 1.500278e+25
[11,] 6.354792e+24 6.771326e+24 7.481431e+24 3.127034e+24 6.681873e+24
[12,] 1.137143e+25 1.211679e+25 1.338747e+25 5.595597e+24 1.195672e+25
[13,] 1.315972e+25 1.402229e+25 1.549280e+25 6.475569e+24 1.383705e+25
[14,] 1.683914e+25 1.794288e+25 1.982454e+25 8.286118e+24 1.770585e+25
[15,] 1.303150e+25 1.388567e+25 1.534185e+25 6.412476e+24 1.370223e+25
[16,] 1.136936e+25 1.211458e+25 1.338503e+25 5.594576e+24 1.195454e+25
[17,] 1.359579e+25 1.448694e+25 1.600618e+25 6.690147e+24 1.429557e+25
[18,] 1.034466e+25 1.102271e+25 1.217866e+25 5.090345e+24 1.087710e+25
[19,] 1.141460e+25 1.216279e+25 1.343829e+25 5.616840e+24 1.200211e+25
[20,] 1.568481e+25 1.671289e+25 1.846556e+25 7.718100e+24 1.649210e+25
[21,] 9.418433e+24 1.003578e+25 1.108822e+25 4.634575e+24 9.903200e+24
[22,] 1.370919e+25 1.460778e+25 1.613969e+25 6.745949e+24 1.441481e+25
[23,] 7.365713e+24 7.848508e+24 8.671577e+24 3.624482e+24 7.744826e+24
[24,] 1.405966e+25 1.498122e+25 1.655229e+25 6.918405e+24 1.478331e+25
[25,] 1.298457e+25 1.383566e+25 1.528660e+25 6.389382e+24 1.365289e+25
[26,] 8.779255e+24 9.354703e+24 1.033573e+25 4.320051e+24 9.231123e+24
[27,] 1.292378e+25 1.377089e+25 1.521503e+25 6.359469e+24 1.358897e+25
[28,] 7.469887e+24 7.959512e+24 8.794222e+24 3.675745e+24 7.854362e+24
[29,] 6.166477e+24 6.570667e+24 7.259729e+24 3.034369e+24 6.483865e+24
[30,] 6.942587e+24 7.397648e+24 8.173435e+24 3.416273e+24 7.299922e+24
                                                                      
 [1,] 9.404063e+24 1.122931e+25 9.828106e+24 9.039574e+24 1.426839e+25
 [2,] 1.002047e+25 1.196535e+25 1.047230e+25 9.632086e+24 1.520363e+25
 [3,] 1.107131e+25 1.322015e+25 1.157053e+25 1.064220e+25 1.679803e+25
 [4,] 4.627504e+24 5.525662e+24 4.836164e+24 4.448148e+24 7.021116e+24
 [5,] 9.888090e+24 1.180728e+25 1.033396e+25 9.504840e+24 1.500278e+25
 [6,] 9.263816e+24 1.106184e+25 9.681535e+24 8.904763e+24 1.405560e+25
 [7,] 1.106184e+25 1.320885e+25 1.156064e+25 1.063310e+25 1.678367e+25
 [8,] 9.681535e+24 1.156064e+25 1.011809e+25 9.306291e+24 1.468938e+25
 [9,] 8.904763e+24 1.063310e+25 9.306291e+24 8.559626e+24 1.351082e+25
[10,] 1.405560e+25 1.678367e+25 1.468938e+25 1.351082e+25 2.132596e+25
[11,] 6.260020e+24 7.475037e+24 6.542293e+24 6.017391e+24 9.498065e+24
[12,] 1.120185e+25 1.337603e+25 1.170695e+25 1.076768e+25 1.699609e+25
[13,] 1.296346e+25 1.547956e+25 1.354800e+25 1.246102e+25 1.966892e+25
[14,] 1.658801e+25 1.980760e+25 1.733599e+25 1.594508e+25 2.516828e+25
[15,] 1.283716e+25 1.532874e+25 1.341601e+25 1.233961e+25 1.947728e+25
[16,] 1.119980e+25 1.337359e+25 1.170482e+25 1.076571e+25 1.699299e+25
[17,] 1.339303e+25 1.599251e+25 1.399694e+25 1.287393e+25 2.032068e+25
[18,] 1.019038e+25 1.216825e+25 1.064988e+25 9.795415e+24 1.546144e+25
[19,] 1.124437e+25 1.342681e+25 1.175140e+25 1.080856e+25 1.706061e+25
[20,] 1.545089e+25 1.844978e+25 1.614760e+25 1.485204e+25 2.344299e+25
[21,] 9.277972e+24 1.107875e+25 9.696329e+24 8.918370e+24 1.407707e+25
[22,] 1.350474e+25 1.612590e+25 1.411369e+25 1.298131e+25 2.049017e+25
[23,] 7.255865e+24 8.664167e+24 7.583042e+24 6.974637e+24 1.100902e+25
[24,] 1.384998e+25 1.653814e+25 1.447449e+25 1.331317e+25 2.101399e+25
[25,] 1.279093e+25 1.527354e+25 1.336769e+25 1.229517e+25 1.940713e+25
[26,] 8.648327e+24 1.032689e+25 9.038292e+24 8.313129e+24 1.312174e+25
[27,] 1.273104e+25 1.520203e+25 1.330510e+25 1.223760e+25 1.931627e+25
[28,] 7.358486e+24 8.786704e+24 7.690290e+24 7.073281e+24 1.116472e+25
[29,] 6.074514e+24 7.253525e+24 6.348422e+24 5.839074e+24 9.216603e+24
[30,] 6.839049e+24 8.166451e+24 7.147432e+24 6.573976e+24 1.037660e+25
                                                                      
 [1,] 6.354792e+24 1.137143e+25 1.315972e+25 1.683914e+25 1.303150e+25
 [2,] 6.771326e+24 1.211679e+25 1.402229e+25 1.794288e+25 1.388567e+25
 [3,] 7.481431e+24 1.338747e+25 1.549280e+25 1.982454e+25 1.534185e+25
 [4,] 3.127034e+24 5.595597e+24 6.475569e+24 8.286118e+24 6.412476e+24
 [5,] 6.681873e+24 1.195672e+25 1.383705e+25 1.770585e+25 1.370223e+25
 [6,] 6.260020e+24 1.120185e+25 1.296346e+25 1.658801e+25 1.283716e+25
 [7,] 7.475037e+24 1.337603e+25 1.547956e+25 1.980760e+25 1.532874e+25
 [8,] 6.542293e+24 1.170695e+25 1.354800e+25 1.733599e+25 1.341601e+25
 [9,] 6.017391e+24 1.076768e+25 1.246102e+25 1.594508e+25 1.233961e+25
[10,] 9.498065e+24 1.699609e+25 1.966892e+25 2.516828e+25 1.947728e+25
[11,] 4.230207e+24 7.569643e+24 8.760056e+24 1.120934e+25 8.674705e+24
[12,] 7.569643e+24 1.354532e+25 1.567547e+25 2.005829e+25 1.552275e+25
[13,] 8.760056e+24 1.567547e+25 1.814062e+25 2.321268e+25 1.796387e+25
[14,] 1.120934e+25 2.005829e+25 2.321268e+25 2.970288e+25 2.298652e+25
[15,] 8.674705e+24 1.552275e+25 1.796387e+25 2.298652e+25 1.778885e+25
[16,] 7.568262e+24 1.354285e+25 1.567262e+25 2.005463e+25 1.551992e+25
[17,] 9.050334e+24 1.619491e+25 1.874174e+25 2.398188e+25 1.855914e+25
[18,] 6.886146e+24 1.232226e+25 1.426006e+25 1.824714e+25 1.412113e+25
[19,] 7.598381e+24 1.359674e+25 1.573499e+25 2.013444e+25 1.558168e+25
[20,] 1.044093e+25 1.868329e+25 2.162144e+25 2.766673e+25 2.141079e+25
[21,] 6.269586e+24 1.121896e+25 1.298327e+25 1.661336e+25 1.285678e+25
[22,] 9.125823e+24 1.633000e+25 1.889807e+25 2.418191e+25 1.871394e+25
[23,] 4.903148e+24 8.773824e+24 1.015361e+25 1.299252e+25 1.005468e+25
[24,] 9.359118e+24 1.674745e+25 1.938118e+25 2.480010e+25 1.919235e+25
[25,] 8.643464e+24 1.546684e+25 1.789918e+25 2.290374e+25 1.772478e+25
[26,] 5.844103e+24 1.045759e+25 1.210217e+25 1.548590e+25 1.198426e+25
[27,] 8.602997e+24 1.539443e+25 1.781538e+25 2.279651e+25 1.764180e+25
[28,] 4.972494e+24 8.897912e+24 1.029721e+25 1.317628e+25 1.019688e+25
[29,] 4.104850e+24 7.345329e+24 8.500464e+24 1.087717e+25 8.417643e+24
[30,] 4.621484e+24 8.269809e+24 9.570327e+24 1.224616e+25 9.477085e+24
                                                                      
 [1,] 1.136936e+25 1.359579e+25 1.034466e+25 1.141460e+25 1.568481e+25
 [2,] 1.211458e+25 1.448694e+25 1.102271e+25 1.216279e+25 1.671289e+25
 [3,] 1.338503e+25 1.600618e+25 1.217866e+25 1.343829e+25 1.846556e+25
 [4,] 5.594576e+24 6.690147e+24 5.090345e+24 5.616840e+24 7.718100e+24
 [5,] 1.195454e+25 1.429557e+25 1.087710e+25 1.200211e+25 1.649210e+25
 [6,] 1.119980e+25 1.339303e+25 1.019038e+25 1.124437e+25 1.545089e+25
 [7,] 1.337359e+25 1.599251e+25 1.216825e+25 1.342681e+25 1.844978e+25
 [8,] 1.170482e+25 1.399694e+25 1.064988e+25 1.175140e+25 1.614760e+25
 [9,] 1.076571e+25 1.287393e+25 9.795415e+24 1.080856e+25 1.485204e+25
[10,] 1.699299e+25 2.032068e+25 1.546144e+25 1.706061e+25 2.344299e+25
[11,] 7.568262e+24 9.050334e+24 6.886146e+24 7.598381e+24 1.044093e+25
[12,] 1.354285e+25 1.619491e+25 1.232226e+25 1.359674e+25 1.868329e+25
[13,] 1.567262e+25 1.874174e+25 1.426006e+25 1.573499e+25 2.162144e+25
[14,] 2.005463e+25 2.398188e+25 1.824714e+25 2.013444e+25 2.766673e+25
[15,] 1.551992e+25 1.855914e+25 1.412113e+25 1.558168e+25 2.141079e+25
[16,] 1.354038e+25 1.619196e+25 1.232001e+25 1.359426e+25 1.867988e+25
[17,] 1.619196e+25 1.936279e+25 1.473260e+25 1.625639e+25 2.233791e+25
[18,] 1.232001e+25 1.473260e+25 1.120962e+25 1.236903e+25 1.699629e+25
[19,] 1.359426e+25 1.625639e+25 1.236903e+25 1.364836e+25 1.875421e+25
[20,] 1.867988e+25 2.233791e+25 1.699629e+25 1.875421e+25 2.577017e+25
[21,] 1.121692e+25 1.341350e+25 1.020595e+25 1.126155e+25 1.547450e+25
[22,] 1.632702e+25 1.952429e+25 1.485549e+25 1.639199e+25 2.252423e+25
[23,] 8.772224e+24 1.049006e+25 7.981596e+24 8.807131e+24 1.210188e+25
[24,] 1.674440e+25 2.002341e+25 1.523525e+25 1.681103e+25 2.310004e+25
[25,] 1.546402e+25 1.849230e+25 1.407027e+25 1.552556e+25 2.133367e+25
[26,] 1.045569e+25 1.250320e+25 9.513331e+24 1.049729e+25 1.442433e+25
[27,] 1.539162e+25 1.840572e+25 1.400440e+25 1.545287e+25 2.123379e+25
[28,] 8.896289e+24 1.063842e+25 8.094479e+24 8.931692e+24 1.227304e+25
[29,] 7.343989e+24 8.782142e+24 6.682086e+24 7.373213e+24 1.013153e+25
[30,] 8.268301e+24 9.887460e+24 7.523091e+24 8.301202e+24 1.140668e+25
                                                                      
 [1,] 9.418433e+24 1.370919e+25 7.365713e+24 1.405966e+25 1.298457e+25
 [2,] 1.003578e+25 1.460778e+25 7.848508e+24 1.498122e+25 1.383566e+25
 [3,] 1.108822e+25 1.613969e+25 8.671577e+24 1.655229e+25 1.528660e+25
 [4,] 4.634575e+24 6.745949e+24 3.624482e+24 6.918405e+24 6.389382e+24
 [5,] 9.903200e+24 1.441481e+25 7.744826e+24 1.478331e+25 1.365289e+25
 [6,] 9.277972e+24 1.350474e+25 7.255865e+24 1.384998e+25 1.279093e+25
 [7,] 1.107875e+25 1.612590e+25 8.664167e+24 1.653814e+25 1.527354e+25
 [8,] 9.696329e+24 1.411369e+25 7.583042e+24 1.447449e+25 1.336769e+25
 [9,] 8.918370e+24 1.298131e+25 6.974637e+24 1.331317e+25 1.229517e+25
[10,] 1.407707e+25 2.049017e+25 1.100902e+25 2.101399e+25 1.940713e+25
[11,] 6.269586e+24 9.125823e+24 4.903148e+24 9.359118e+24 8.643464e+24
[12,] 1.121896e+25 1.633000e+25 8.773824e+24 1.674745e+25 1.546684e+25
[13,] 1.298327e+25 1.889807e+25 1.015361e+25 1.938118e+25 1.789918e+25
[14,] 1.661336e+25 2.418191e+25 1.299252e+25 2.480010e+25 2.290374e+25
[15,] 1.285678e+25 1.871394e+25 1.005468e+25 1.919235e+25 1.772478e+25
[16,] 1.121692e+25 1.632702e+25 8.772224e+24 1.674440e+25 1.546402e+25
[17,] 1.341350e+25 1.952429e+25 1.049006e+25 2.002341e+25 1.849230e+25
[18,] 1.020595e+25 1.485549e+25 7.981596e+24 1.523525e+25 1.407027e+25
[19,] 1.126155e+25 1.639199e+25 8.807131e+24 1.681103e+25 1.552556e+25
[20,] 1.547450e+25 2.252423e+25 1.210188e+25 2.310004e+25 2.133367e+25
[21,] 9.292149e+24 1.352538e+25 7.266952e+24 1.387114e+25 1.281047e+25
[22,] 1.352538e+25 1.968714e+25 1.057756e+25 2.019042e+25 1.864654e+25
[23,] 7.266952e+24 1.057756e+25 5.683141e+24 1.084797e+25 1.001847e+25
[24,] 1.387114e+25 2.019042e+25 1.084797e+25 2.070658e+25 1.912323e+25
[25,] 1.281047e+25 1.864654e+25 1.001847e+25 1.912323e+25 1.766095e+25
[26,] 8.661542e+24 1.260749e+25 6.773784e+24 1.292978e+25 1.194109e+25
[27,] 1.275050e+25 1.855925e+25 9.971562e+24 1.903370e+25 1.757827e+25
[28,] 7.369730e+24 1.072716e+25 5.763518e+24 1.100139e+25 1.016016e+25
[29,] 6.083796e+24 8.855394e+24 4.757850e+24 9.081774e+24 8.387327e+24
[30,] 6.849500e+24 9.969931e+24 5.356671e+24 1.022480e+25 9.442951e+24
                                                                      
 [1,] 8.779255e+24 1.292378e+25 7.469887e+24 6.166477e+24 6.942587e+24
 [2,] 9.354703e+24 1.377089e+25 7.959512e+24 6.570667e+24 7.397648e+24
 [3,] 1.033573e+25 1.521503e+25 8.794222e+24 7.259729e+24 8.173435e+24
 [4,] 4.320051e+24 6.359469e+24 3.675745e+24 3.034369e+24 3.416273e+24
 [5,] 9.231123e+24 1.358897e+25 7.854362e+24 6.483865e+24 7.299922e+24
 [6,] 8.648327e+24 1.273104e+25 7.358486e+24 6.074514e+24 6.839049e+24
 [7,] 1.032689e+25 1.520203e+25 8.786704e+24 7.253525e+24 8.166451e+24
 [8,] 9.038292e+24 1.330510e+25 7.690290e+24 6.348422e+24 7.147432e+24
 [9,] 8.313129e+24 1.223760e+25 7.073281e+24 5.839074e+24 6.573976e+24
[10,] 1.312174e+25 1.931627e+25 1.116472e+25 9.216603e+24 1.037660e+25
[11,] 5.844103e+24 8.602997e+24 4.972494e+24 4.104850e+24 4.621484e+24
[12,] 1.045759e+25 1.539443e+25 8.897912e+24 7.345329e+24 8.269809e+24
[13,] 1.210217e+25 1.781538e+25 1.029721e+25 8.500464e+24 9.570327e+24
[14,] 1.548590e+25 2.279651e+25 1.317628e+25 1.087717e+25 1.224616e+25
[15,] 1.198426e+25 1.764180e+25 1.019688e+25 8.417643e+24 9.477085e+24
[16,] 1.045569e+25 1.539162e+25 8.896289e+24 7.343989e+24 8.268301e+24
[17,] 1.250320e+25 1.840572e+25 1.063842e+25 8.782142e+24 9.887460e+24
[18,] 9.513331e+24 1.400440e+25 8.094479e+24 6.682086e+24 7.523091e+24
[19,] 1.049729e+25 1.545287e+25 8.931692e+24 7.373213e+24 8.301202e+24
[20,] 1.442433e+25 2.123379e+25 1.227304e+25 1.013153e+25 1.140668e+25
[21,] 8.661542e+24 1.275050e+25 7.369730e+24 6.083796e+24 6.849500e+24
[22,] 1.260749e+25 1.855925e+25 1.072716e+25 8.855394e+24 9.969931e+24
[23,] 6.773784e+24 9.971562e+24 5.763518e+24 4.757850e+24 5.356671e+24
[24,] 1.292978e+25 1.903370e+25 1.100139e+25 9.081774e+24 1.022480e+25
[25,] 1.194109e+25 1.757827e+25 1.016016e+25 8.387327e+24 9.442951e+24
[26,] 8.073730e+24 1.188519e+25 6.869586e+24 5.670922e+24 6.384662e+24
[27,] 1.188519e+25 1.749597e+25 1.011259e+25 8.348060e+24 9.398742e+24
[28,] 6.869586e+24 1.011259e+25 5.845034e+24 4.825141e+24 5.432431e+24
[29,] 5.670922e+24 8.348060e+24 4.825141e+24 3.983209e+24 4.484534e+24
[30,] 6.384662e+24 9.398742e+24 5.432431e+24 4.484534e+24 5.048956e+24

E) Radius, Diameter and Girth

Eccentricity

 [1] 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 2 3 3 2 3 3 3 3 2 2 3 3 3 3 3

Radius

[1] 2

Diameter

[1] 3

Girth

$girth
[1] 3

$circle
+ 3/30 vertices, from 17efa29:
[1]  6  1 15

F) Density

Density

[1] 0.2482759

G) Induced Graph

A)erdosRenyi Graph With Direction

 [1] 2 1 3 3 7 5 1 0 1 2 2 4 4 3 4 0 1 2 3 3 2 6 1 2 3 7 3 4 0 4

B)Transposed

C)Subdivision Graph

---

+ 166/166 edges from 1a51b1b:
  [1]  3->31 31-> 1 19->32 32-> 1 25->33 33-> 2 16->34 34-> 3 18->35 35-> 3
 [11] 21->36 36-> 3 11->37 37-> 4 16->38 38-> 4 27->39 39-> 4  7->40 40-> 5
 [21] 13->41 41-> 5 19->42 42-> 5 21->43 43-> 5 22->44 44-> 5 28->45 45-> 5
 [31] 30->46 46-> 5  4->47 47-> 6 15->48 48-> 6 16->49 49-> 6 21->50 50-> 6
 [41] 28->51 51-> 6 28->52 52-> 7 19->53 53-> 9 19->54 54->10 25->55 55->10
 [51] 20->56 56->11 30->57 57->11  3->58 58->12 12->59 59->30 15->60 60->12
 [61] 17->61 61->12 18->62 62->12 10->63 63->13 15->64 64->13 18->65 65->13
 [71] 21->66 66->13  9->67 67->14 12->68 68->14 24->69 69->14  1->70 70->15
 [81]  7->71 71->15 20->72 72->15 22->73 73->15 27->74 74->17 10->75 75->18
 [91] 21->76 76->18  9->77 77->19 20->78 78->19 27->79 79->19  5->80 80->20
+ ... omitted several edges

D)Hamiltonian Cycle

E)Adjecency Matrix

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                 
 [1,] . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . .
 [2,] . . . . . . . . . . . . . . . . . . . . . . . 1 . . 1 1 . .
 [3,] 1 . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . .
 [4,] . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . .
 [5,] . . . . . . . . . . . . . . . . . . . 1 . . . 1 . . . . . .
 [6,] . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . .
 [7,] . . . . 1 . . . . . . . . . 1 . . . . . . . . . 1 . . 1 . .
 [8,] . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . .
 [9,] . . . . . . . . . . . . . 1 . . . . 1 1 . . . . . . . . . .
[10,] . . . . . . . . . . . . 1 . . . . 1 . 1 . . . . . 1 . . . .
[11,] . . . 1 . . . . . . . . . . . . . . . . . . . . . . . 1 . .
[12,] . . . . . . . . . . . . . 1 . . . . . . 1 . . . . . . . . 1
[13,] . . . . 1 . . . . . . . . . . . . . . . 1 1 . . . . . . . .
[14,] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
[15,] . . . . . 1 . . . . . 1 1 . . . . . . . . 1 . . . . . . . .
[16,] . . 1 1 . 1 . . . . . . . . . . . . . . . . . . . . . . . .
[17,] . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . .
[18,] . . 1 . . . . . . . . 1 1 . . . . . . . . 1 . . . 1 . . . .
[19,] 1 . . . 1 . . . 1 1 . . . . . . . . . . . . . . . . . . . .
[20,] . . . . . . . . . . 1 . . . 1 . . . 1 . . . . . . . . 1 . .
[21,] . . 1 . 1 1 . . . . . . 1 . . . . 1 . . . 1 . . . 1 1 . . .
[22,] . . . . 1 . . . . . . . . . 1 . . . . . . . . . . 1 . . . .
[23,] . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . .
[24,] . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . .
[25,] . 1 . . . . . . . 1 . . . . . . . . . . . . . . . . 1 . . 1
[26,] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
[27,] . . . 1 . . . . . . . . . . . . 1 . 1 . . . . . 1 . . . . 1
[28,] . . . . 1 1 1 . . . . . . . . . . . . . . . . . . 1 . . . 1
[29,] . . . . . . . . . . . . . . . . . . . . . 1 . . . 1 . . . .
[30,] . . . . 1 . . . . . 1 . . . . . . . . . . . 1 . . . . . . .

F)Radius, Diameter and Girth

Eccentricity

 [1] 4 4 3 4 3 3 3 4 4 3 4 3 3 4 3 4 4 3 3 3 3 3 4 4 4 3 3 3 4 3

Radius

[1] 3

Diameter

[1] 6

Girth

$girth
[1] 3

$circle
+ 3/30 vertices, from 19662e7:
[1] 25  2 27

G)Induced Graph

A)

       [,1] [,2] [,3]
  [1,]    3    1   55
  [2,]   19    1   63
  [3,]   30    1    5
  [4,]   14    2   56
  [5,]   23    3    3
  [6,]   26    3   72
  [7,]   29    3   45
  [8,]   30    3   30
  [9,]   14    5    4
 [10,]   13    6   78
 [11,]   20    6   10
 [12,]   25    6   10
 [13,]   29    6   80
 [14,]   22    7   92
 [15,]    3    8   60
 [16,]    6    8   69
 [17,]    7    8   49
 [18,]   24    8    9
 [19,]   27    8    8
 [20,]    1    9    5
 [21,]    7    9   73
 [22,]   11    9   30
 [23,]   16    9   40
 [24,]   29    9   82
 [25,]    2   10   52
 [26,]    7   10   60
 [27,]    9   10   22
 [28,]   12   10   40
 [29,]   19   10   72
 [30,]   27   10   95
 [31,]   30   10   89
 [32,]    1   11   37
 [33,]   10   11   67
 [34,]   13   11    9
 [35,]    1   12   73
 [36,]    3   12   66
 [37,]    4   12   18
 [38,]    6   12   48
 [39,]    3   13   68
 [40,]   18   13   46
 [41,]   13   14   69
 [42,]   19   14   58
 [43,]   27   14   13
 [44,]   30   14   72
 [45,]   13   16   82
 [46,]   20   16    6
 [47,]   21   16   50
 [48,]   26   16   11
 [49,]   30   16    6
 [50,]   18   17   53
 [51,]   21   17   50
 [52,]   12   18   57
 [53,]   14   18    5
 [54,]   16   18   90
 [55,]   19   18   66
 [56,]   26   18   20
 [57,]   28   18   25
 [58,]   11   19   66
 [59,]   15   19    6
 [60,]    1   20   83
 [61,]   10   20   81
 [62,]   14   20   52
 [63,]   23   20   74
 [64,]   28   20   90
 [65,]    9   21   10
 [66,]   13   21   22
 [67,]   14   21   56
 [68,]   19   21   24
 [69,]   21   30   64
 [70,]   26   21   22
 [71,]    7   22    4
 [72,]    9   22   82
 [73,]   10   22   45
 [74,]   26   22   96
 [75,]    1   23   25
 [76,]    2   23   55
 [77,]    4   23   53
 [78,]    7   23   10
 [79,]    9   23   56
 [80,]   10   23   52
 [81,]   11   23   45
 [82,]   28   23   82
 [83,]   20   24   51
 [84,]    2   25   23
 [85,]    9   25   55
 [86,]   20   25    4
 [87,]   22   25   51
 [88,]   26   25   59
 [89,]    5   26   96
 [90,]   26   30   20
 [91,]   27   26    1
 [92,]    5   27   31
 [93,]    6   27   71
 [94,]    7   27   57
 [95,]    9   27   92
 [96,]   11   27   77
 [97,]   17   27   74
 [98,]   20   27   83
 [99,]   21   27   85
[100,]   23   27   67
[101,]   28   27   67
[102,]   24   28   10
[103,]   25   28   65
[104,]   14   29   80
[105,]   15   29   20

B)subGraph

C)MST

D) Radius, Diameter, Girth

Eccentricity

 [1] 3 3 3 4 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3

Radius

[1] 2

Diameter

[1] 128

Girth

$girth
[1] 3

$circle
+ 3/30 vertices, from 1a599eb:
[1]  3  1 12

A) Multi Graph